Given parameters:
Extension of the cord = 35m
Spring constant (K ) = 40N/m
Unknown:
The energy stored in the string = ?
Elastic potential energy is a mechanical energy form usually stored in strings.It accrues when an elastic body is stretched or undergoes extension.
mathematically, we can solve for it using the expression below;
Elastic potential energy = 0.5 x K x e²
where K is the spring constant
e is the extension
To solve this problem simply input the parameters;
Elastic Potential energy = 0.5 x 40 x 35²
= 24500J
The energy stored in the stretched bungee cord is 24500J .
while you are waiting to begin a foot race , you can feel your heart rate go up . This is the _ at work.
Answer:
Sympathetic nervous system.
Explanation:
The sympathetic nervous system prepares the body for the “fight or flight” response during any potential danger. The sympathetic nervous system (SNS) increases heart rate. A faster heart rate (usually) pumps more oxygen-rich blood to the brain and lungs. This can give you the energy to run.
While you are waiting to begin a foot race, you can feel your heart race go up. This is the sympathetic nervous system at work.
Answer:
sympathetic nervous system
Explanation:
A particle has an angular velocity vector ω whose magnitude is the angular speed of the particle and the direction represents the axis about which the particle is instantaneously rotating. The particle’s linear velocity v can be written as v = ω × r where r is the particle’s position vector.
(a) If ω is constant, show that the particle’s linear acceleration a = dv/dt can be written as a = ω(ω · r) − |ω| 2 r
(b) Suppose a particle is constrained in the x−y plane. In cylindrical coordinates r = Rˆs and is perpendicular to ω = ωˆz and ω = dφ/dt is the constant rate of rotation. Use the result from part a) to find the acceleration of this body. The result should look familiar. Draw the situation and label the position vector r, the velocity vector v and the acceleration vector a in the drawing.
Answer:
a) a = w (w. r) - r w² , b) a = - r d²φ /dt²
Explanation:
For this exercise we derive the velocity of the particle
v = w x r
a = dv / dt = d/dt (w x r)
a = dw/dt x r + w x dr/dt
a = α x r + w x v
a = α x r + w x (w x r)
In the first term alpha is in the same direction, so its vector product zero
The second term, we develop it using
A x B x C = B (A .C) - C (A. B)
we substitute
a = 0 + w (w .r) - r (w .w)
a = w (w. r) - r w²
b) x- y plane
r = R s^
w = w k^
w = dφ / dt
a = w (w. R) - R w²
w² = (dφ / dt )²
a = w (w. R) - r d²φi / dt²
since the motion is in the x -y plane and the angular velocity is in the z axis, the scalar product of two perpendicular vectors zero (w. R) = 0
a = - r d²φ /dt²
It took Lilly 7 seconds to ride her bike 35 meters to the end of the block.What was her speed?
Answer:
5 meters
Explanation:
2. What is the momentum of a football of mass 500g traveling at a
velocity of 10m/s.
5 kg m/s
Salam Abatibor
Answer:
5000 ns
Explanation:
hope this helps
An object becomes positively charged when it
A loses protons (P+)
B gains electrons (e-)
C gains neutrons (no)
D Oloses electrons (e-)
Answer:
D
Explanation:
Answer:
A
Explanation:
Which of the following is the correct definition of emotion?
a.an aspect of consciousness characterized by a certain physical arousal involving facial and bodily changes, brain activation, and tendencies toward action, all shaped by cultural rules
b.a set of social and cultural rules that regulates when, how, and where a person may express (or must suppress) feelings
c.an irrational aspect of our mammalian heritage that is distinctive from our rational abilities of cognition
d,the process by which the facial muscles send messages to the brain about bodily changes
Answer:
a) an aspect of consciousness characterized by a certain physical arousal, a certain behavior that reveals the feeling of the outside world, and an inner awareness of feelings
Explanation:
i took the test and got it right, midterms baby
An aspect of consciousness characterized by a certain physical arousal involving facial and bodily changes, brain activation, and tendencies toward action, all shaped by cultural rules is the correct definition of emotion. Hence option A is correct.
What is Emotion ?Emotion is a multifaceted experience of awareness, physiological feeling, and behaviour that expresses a person's unique interpretation of an object, an occasion, or a situation.
Emotions are defined as "all those sensations that alter men's judgements and are accompanied by either pleasure or misery." Such are the opposites of wrath, sympathy, fear, and the like. A vast range of significant psychological phenomena fall under the umbrella of the concept of emotion, which is in fact diverse. When it comes to a single person, thing, or circumstance, some emotions are quite specialised. Others are highly all-encompassing, like pleasure, happiness, or melancholy. Some feelings, like a momentary flush of shame or a flash of rage, are very fleeting and scarcely conscious.
Hence option A is correct.
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wo cars are moving in the same velocity.Car A has a mass of 95 kilograms while car B has a mass of 110 kilograms.How much internia does the car b have compared to car a
The volume or intensity of a sound wave is measured by the size of the _________ and reported in decibels.
A) amplitude
B) frequency
C) trough
D) wavelength
A.) amplitude (amplitude equates to the volume of a sound wave, frequency equates to the note that is played)
Answer:
A. Amplitude
Explanation:
Discuss whether any work is being done by each of the following agents and, if so, whether the work is positive or negative: (a) a chicken scratching the ground no work positive work negative work (b) a person studying no work positive work negative work (c) a crane lifting a bucket of concrete no work positive work negative work (d) the gravitational force on the bucket of concrete no work positive work negative work (e) the leg muscles of a person in the act of sitting down no work positive work negative work
Answer:
a) As the chicken is still, the displacement is zero, which implies that the work is zero.
b) as the person is still there is no displacement therefore the work is zero
c) Lagraua applies a vertical force and the displacement is vertical, therefore the Work is positive
d) the force of gravity is directed downwards and the displacement is upwards, therefore the angle between it is 180º and the 180º fly is -1. Consequently the lock is negative
e) when the person meticulously feels the upward force and the displacement is downward, therefore the work is negative
Explanation:
Work is defined by the expression
W = F. r
bold letters indicate vectors, we can write this expression as a module
W= F r cos θ
where is at the angle between force and displacement.
Let's apply this expression to the different cases
a) As the chicken is still, the displacement is zero, which implies that the work is zero.
b) as the person is still there is no displacement therefore the work is zero
c) Lagraua applies a vertical force and the displacement is vertical, therefore the Work is positive
d) the force of gravity is directed downwards and the displacement is upwards, therefore the angle between it is 180º and the 180º fly is -1. Consequently the lock is negative
e) when the person meticulously feels the upward force and the displacement is downward, therefore the work is negative
Answer:(a)
Explanation:all they do is work work work work
Which of the following is NOT one of the four Grand Slam Tournaments?
Australian Open
French Open
Davis Cup
Wimbledon
Answer:
Davis Cup
Explanation:
Hope this Helps!
Davis Cup is NOT one of the four Grand Slam Tournaments in tennis sports.
What is the tennis Davis Cup?The tennis Davis Cup is a tournament between teams for countries which is played every year.
The tennis Davis Cup is very popular and therefore all countries hope to win this tournament.
In conclusion, Davis Cup is NOT one of the four Grand Slam Tournaments in tennis sports.
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Determine the velocity of a car that travels 28km in 2.2 hours
Answer:
velocity = 12.73 km/hr.Explanation:
velocity = distance / time
= 28 km
2.2 hr
= 12.73 km/hr.
Joe walked 8 meters from his seat to his teacher's desk to turn in an assignment. On
the way back to his seat Joe stops and talks to Sarah. Sarah's desk is in the front row,
exactly 2 meters from the teacher's desk. What is Joe's displacement in meters?
Answer: Joe's displacement is 6
Step-by-step explanation:
8-2=6
The displacement of Joe for the entire journey is 6 m backwards.
The given parameters;
fist position of Joe, x₁ = 8 mfinal position of Joe, x₂ = 2 mDisplacement is the change in the position of an object. It can also be described as the shortest distance between the final position and the initial position.
Displacement = Δx = x₂ - x₁
Let the forward direction be negativeLet the backward direction be positiveDisplacement = -2 - (-8)
Displacement = -2 + 8
Displacement = 6 m backwards
Thus, the displacement of Joe for the entire journey is 6 m backwards.
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Two forces, one of 50 N and the other ot 30 N, act in oppo-
site directions on a box as shown in the diagram. What is the
mass of the box if its acceleration is 4.0 m/s??
Answer:
m = 5 [kg]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces in a body must be equal to the product of mass by acceleration.
ΣF = m*a
Where:
F = force [N]
m = mass [kg]
a = acceleration = 4 [m/s^2]
Now replacing:
50 - 30 = m*(4)
m = 5 [kg]
The name of the SI unit for force is the
Joule
Newton
Watt
Answer:
Newton
is the answer of si unit of force
The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat’s average kinetic energy? (1 kJ = 1000 J)
A. 4.2 kJ
B. 8.3 kJ
C. 69.0 kJ
D. 139.0 kJ
Answer:
C. 69.0 kJ
Explanation:
Step 1: Given data
Mass of the horse (m): 500 kg
Distance traveled by the horse (d): 2000 m
Time elapsed (t): 120 s
Step 2: Calculate the speed of the horse (v)
The speed of the horse is equal to the distance traveled divided by the time elapsed.
v = d/t
v = 2000 m/120 s
v = 16.6 m/s
Step 3: Calculate the kinetic energy (K) of the horse
We will use the following expression.
K = 1/2 × m × v²
K = 1/2 × 500 kg × (16.6 m/s)²
K = 6.90 × 10⁴ J
Step 4: Convert "K" to kJ
We will use the conversion factor 1 kJ = 1000 J.
6.90 × 10⁴ J × (1 kJ/1000 J) = 69.0 kJ
The average kinetic energy is option C. 69.0 kJ
Calculation of the average kinetic energy:But before that we have to do following calculations:
The Mass of the horse = (m)= 500 kg
The Distance traveled by the horse= (d)= 2000 m
And, Time elapsed (t) = 120 s
Now the speed of the horse (v) should be
v = d/t
= 2000 m/120 s
= 16.6 m/s
Now kinetic energy (K) of the horse should be
K = 1/2 × m × v²
K = 1/2 × 500 kg × (16.6 m/s)²
K = 6.90 × 10⁴ J
Now we have to Convert "K" to kJ
Since 1 kJ = 1000 J.
So,
= 6.90 × 10⁴ J × (1 kJ/1000 J)
= 69.0 kJ
hence, The average kinetic energy is option C. 69.0 kJ
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A car traveling at a velocity of 40 m/s accelerates at 5 m/s/s for 10 seconds. What is the car's final velocity?
Answer:
The answer is 90 m/sExplanation:
To find the final velocity of an object given it's initial velocity , time taken and it's acceleration we use the formula
v = u + atwhere
v is the final velocity
u is the initial velocity
t is the time taken
a is the acceleration
From the question
u = 40 m/s
t = 10s
a = 5 m/s²
We have
v = 40 + 5(10) = 40 + 50
We have the final answer as
90 m/sHope this helps you
A small can of soup has a mass of about 400 g. What would its mass be on the moon?
Answer:
400g
Explanation:
Mass of an object never changes, its weight does
Assuming you wanted to know the weight on moon:
mass (in kg) = 0.4 kg
let the value of g on earth = 10 m/s/s
F = ma
Weight on Earth = 4 N
Value of g on moon = 1.62 m/s/s
m = 0.4 kg
Weight on Moon:
F = ma
F = 0.4 * 1.62
F = 0.648 N
Hence, the weight of the can of soup on moon will be 0.648 N
A sphere of radius 50 mm and mass 1 kg falling vertically through air density 1.2 kg m attains a steady velocity of 11.0 m sr', If the above equation is applied to its fall, what is the value of k in this case?
Answer:
the value of k is 2.21 in this case
Explanation:
im sorry if its wrong but i think its right
what is the slope of the line represent on a velocity vs time graph
Answer:
acceleration
Explanation:
Coach Wilkins drops a football from the top of the home bleachers at Tiger Stadium. If the stadium is 40.6 meters tall, how long did it take the ball to fall?
Answer:70.6 meters
Explanation:
A car has momentum, p=10880 kg m/s, east. If the car is traveling east at 16 m/s, its mass must be [m] kg.
Answer:
The answer is 67.5 kgExplanation:
To find the mass of an object given it's momentum and velocity we use the formula
[tex]m = \frac{p}{v} \\ [/tex]
where
p is the momentum
v is the velocity
From the question
p = 1080 kgm/s
v = 16 m/s
We have
[tex]m = \frac{1080}{16} = \frac{135}{2} \\ [/tex]
We have the final answer as
67.5 kgHope this helps you
Momentum of car = 10880 kg m/s
Velocity of car = 16 m/s
To Find :We. have to find mass of the car[tex].[/tex]
Solution :★ Momentum of body is measured as the product of mass and its velocity.
It is a vector quantity having both magnitude as well as direction.
SI unit : kg m/s or N s
Formula : p = m × v
p denotes momentumm denotes massv denotes velocity★ Calculation :
⭆ p = m × v
⭆ 10880 = m × 16
⭆ m = 10880/16
⭆ m = 680 kg
∴ Mass of the car = 680 kg
Hope It Helps!state Boyle's law .Explain why this law may not apply in solids
You’re exploring a cave. Standing in a low cavern, you steady yourself by pushing straight up on the rock ceiling. Identify the forces acting on you
Explanation:
The attached figure shows the free diagram of the person standing in a low cavern.
The forces acting on the person are as follows :
1. Its weight, mg (in downward direction)
2. F₁ = Force exerted by the Earth on the person (in upward direction)
3. F₂ = Force exerted by the ceiling on the person (in downward direction)
A penny rolls along the table for a distance of 1.3 meters. Jackie pushes it 40 centimeters further in the same direction.
How many meters total has the penny traveled?
when a crystal of potassium permanganate is placed in the bottom of water in a beaker, the water in the whole Beaker turn purple on its own, even without stirring. This is an example of-
Pls help
A cup of hot chocolate has a spoon in it. How does the heat move from
the hot chocolate to the metal spoon handle?
Answer: It moves through conduction, because heat is transferred directly from the hot chocolate to the spoon.
Explanation:
A plane stops from 250 mph in 25 seconds. Calculate the planes acceleration.
Answer:
The plane's acceleration is [tex]-4.47\ m/s^2[/tex]
Explanation:
Kinematics
Kinematics is the science that describes the motion of objects. When the motion has a constant speed, then it has zero acceleration, If the speed increases in time, the acceleration is positive, and if the speed decreases, the acceleration is negative.
The main formula for accelerated motion is:
[tex]v_f=v_o+a.t[/tex]
Where vf is the final speed of the object, vo is its initial speed, a is the acceleration, and t is the time.
The plane was moving at 250 mph and, in 25 seconds, it stopped. The data correspond to the following values of the variables:
vf = 0 (the plane stops)
vo= 250 mph. Since one mile is 1,609 m and 1 hour = 3,600 seconds:
[tex]250*1,609/3,600=111.74\ m/s[/tex]
t = 25 sec
We need to find the value of a. Solving for a:
[tex]\displaystyle a=\frac{v_f-v_o}{t}=\frac{0-111.74}{25}=-4.47\ m/s^2[/tex]
The plane's acceleration is [tex]-4.47\ m/s^2[/tex]
what is total revenue in economics
Answer:
be more specific
Explanation:
Calculate the Earth's linear momentum, in kilogram meters per second.
A race car exerts 18,344 N while the car travels at an acceleration of 92.54 m/s2. What is the mass of the car? (Use the formula m=F/a)
Answer:
The answer is 198.23 kgExplanation:
To find the mass of an object given it's mass and acceleration we use the formula
[tex]m = \frac{f}{a} \\ [/tex]
where
m is the mass
F is the force
a is the acceleration
From the question
a = 92.54 m/s²
F = 18,344 N
We have
[tex]m = \frac{18344}{92.54} \\ = 198.2277933...[/tex]
We have the final answer as
198.23 kgHope this helps you
